Results 11 - 20
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48
Entanglement Entropy of a Massive Fermion on a Torus, JHEP 1303
, 2013
"... The Rényi entropies of a massless Dirac fermion on a circle with chemical potential are calculated analytically at nonzero temperature by using the bosonization method. The bosonization of a massive Dirac fermion to the sine-Gordon model lets us obtain the small mass corrections to the entropies. W ..."
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The Rényi entropies of a massless Dirac fermion on a circle with chemical potential are calculated analytically at nonzero temperature by using the bosonization method. The bosonization of a massive Dirac fermion to the sine-Gordon model lets us obtain the small mass corrections to the entropies. We numerically compute the Rényi entropies by putting a massive fermion on the lattice and find agreement between the analytic and numerical results. In the presence of a mass gap, we show that corrections to Rényi and entanglement entropies in the limit mgap T scale as e−mgap/T. We also show that when there is ground state degeneracy in the gapless case, the limits mgap → 0 and T → 0 do not commute.
Single interval Renyi entropy at low temperature
- JHEP 1408 (2014) 032 [arXiv:1405.6254 [hep-th
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Entropy Function and AdS2/CFT1 Correspondence
, 805
"... Wald’s formula for black hole entropy, applied to extremal black holes, leads to the entropy function formalism. We manipulate the entropy computed this way to express it as the logarithm of the ground state degeneracy of a dual quantum mechanical system. This provides a natural definition of the ex ..."
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Wald’s formula for black hole entropy, applied to extremal black holes, leads to the entropy function formalism. We manipulate the entropy computed this way to express it as the logarithm of the ground state degeneracy of a dual quantum mechanical system. This provides a natural definition of the extremal black hole entropy in the full quantum theory. Our analysis also clarifies the relationship between the entropy function formalism and the Euclidean action formalism. 1 Wald’s formula [1, 2, 3, 4] gives an expression for the entropy of a black hole in terms of the field configurations near the horizon in any general coordinate invariant theory of gravity including those with higher derivative terms in the action. For an extremal black hole whose near horizon geometry has an AdS2 factor, this formula may be encoded in the entropy function formlism that reduces the problem of computing the entropy into a purely algebraic problem for spherically symmetric black holes [5] and a problem involving solution of simple differential equations for rotating black holes [6] (see [7] for a review and other references). The original Wald formula was derived from classical considerations. For various reasons
Holographic Fermi Surfaces and Entanglement Entropy,” JHEP 1201, 125 (2012) [arXiv:1111.1023 [hep-th
- Rev. B
, 2012
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Warped Entanglement Entropy
"... We study the applicability of the covariant holographic entanglement entropy pro-posal to asymptotically warped AdS3 spacetimes with an SL(2,R) × U(1) isometry. We begin by applying the proposal to locally AdS3 backgrounds which are written as an R1 fibration over AdS2. We then perturb away from th ..."
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We study the applicability of the covariant holographic entanglement entropy pro-posal to asymptotically warped AdS3 spacetimes with an SL(2,R) × U(1) isometry. We begin by applying the proposal to locally AdS3 backgrounds which are written as an R1 fibration over AdS2. We then perturb away from this geometry by considering a warping parameter a = 1 + δ to get an asymptotically warped AdS3 spacetime and compute the dual entanglement entropy perturbatively in δ. We find that for large sep-aration in the fiber coordinate, the entanglement entropy can be computed to all orders in δ and takes the universal form appropriate for two-dimensional CFTs. The warping-dependent central charge thus identified exactly agrees with previous calculations in the literature. Performing the same perturbative calculations for the warped BTZ black hole again gives universal two-dimensional CFT answers, with the left-moving and right-moving temperatures appearing appropriately in the result. 1 ar
UvA-DARE (Digital Academic Repository) Published for SISSA by Springer What is a chiral 2d CFT? And what does it have to do with extremal black holes?
, 2010
"... Disclaimer/Complaints regulations If you believe that digital publication of certain material infringes any of your rights or (privacy) interests, please let the Library know, stating your reasons. In case of a legitimate complaint, the Library will make the material inaccessible and/or remove it f ..."
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Disclaimer/Complaints regulations If you believe that digital publication of certain material infringes any of your rights or (privacy) interests, please let the Library know, stating your reasons. In case of a legitimate complaint, the Library will make the material inaccessible and/or remove it from the website. Please Ask the Library: https://uba.uva.nl/en/contact, or a letter to: Library of the University of Amsterdam, Secretariat, Singel 425, 1012 WP Amsterdam, The Netherlands. You will be contacted as soon as possible. Abstract: The near horizon limit of the extremal BTZ black hole is a "self-dual orbifold" of AdS 3 . This geometry has a null circle on its boundary, and thus the dual field theory is a Discrete Light Cone Quantized (DLCQ) two dimensional CFT. The same geometry can be compactified to two dimensions giving AdS 2 with a constant electric field. The kinematics of the DLCQ show that in a consistent quantum theory of gravity in these backgrounds there can be no dynamics in AdS 2 , which is consistent with older ideas about instabilities in this space. We show how the necessary boundary conditions eliminating AdS 2 fluctuations can be implemented, leaving one copy of a Virasoro algebra as the asymptotic symmetry group. Our considerations clarify some aspects of the chiral CFTs appearing in proposed dual descriptions of the near-horizon degrees of freedom of extremal black holes.
On shape dependence of holographic mutual information in AdS4
, 2014
"... We study the holographic mutual information in AdS4 of disjoint spatial domains in the boundary which are delimited by smooth closed curves. A numerical method which approximates a local minimum of the area functional through triangulated surfaces is employed. After some checks of the method against ..."
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We study the holographic mutual information in AdS4 of disjoint spatial domains in the boundary which are delimited by smooth closed curves. A numerical method which approximates a local minimum of the area functional through triangulated surfaces is employed. After some checks of the method against existing analytic results for the holographic entanglement entropy, we compute the holographic mutual information of equal domains delimited by ellipses, superellipses or the boundaries of two dimensional spherocylinders, finding also the corresponding transition curves along which the holographic mutual information vanishes.
Preprint typeset in JHEP style- HYPER VERSION TIT/HEP-576 Moduli flow and non-supersymmetric AdS
, 711
"... Abstract: We investigate the attractor mechanism in gauged supergravity in the presence of higher derivatives terms. In particular, we discuss the attractor behaviour of static black hole horizons in anti-de Sitter spacetime by using the effective potential approach as well as Sen’s entropy function ..."
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Abstract: We investigate the attractor mechanism in gauged supergravity in the presence of higher derivatives terms. In particular, we discuss the attractor behaviour of static black hole horizons in anti-de Sitter spacetime by using the effective potential approach as well as Sen’s entropy function formalism. We use the holographic techniques to interpret the moduli flow as an RG flow towards the IR attractor horizon. We find that the holographic c-function obeys the expected properties and point out
unknown title
, 806
"... Entanglement entropy of two dimensional systems and holography ..."
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